Question

If 16,200 is expressed as the product of prime numbers, find its exponential form.

Answer 1

Given: 16,200

Let's write it as the product of its prime factors.
$\Rightarrow 16200=2\times 8100$

$=2\times 2\times 4050$

$=2\times 2\times 2\times 2025$

$=2\times 2\times 2\times 5\times 405$

$=2\times 2\times 2\times 5\times 5\times 81$

$=2\times 2\times 2\times 5\times 5\times 3\times 27$

$=2\times 2\times 2\times 5\times 5\times 3\times 3\times 9$

$=2\times 2\times 2\times 5\times 5\times 3\times 3\times 3\times 3$

Writing the product in exponential form, we get:
$2^3\times 5^2\times 3^4$